Functional Analysis

Quantification of the reciprocal Dunford-Pettis property

It will be shown that spaces $C_0(Omega)$ for any locally
compact space $Omega$ enjoy a quantitative version of the reciprocal
Dunford-Pettis property. A combination with previous results shows that
for operators with domain $C_0(Omega)$ weak compactness and complete
continuity is quantitatively equivalent. It is a recent joint work
with J.Spurny (unpublished).